Not really into Romance but Fruits Basket, Vampire Night, Ouran High School Host Club (more romance in the manga than the anime) and there is a romance theme to Alice in the Country of hearts...
Maria-sama Ga Miteru. I'm being ultimately and completely serious here. There was not a single kiss but there didn't need to be. I laughed, I cried (not really but the average person would), and my heart felt as warm as a fuzzy little puppy <3 I could tell what happens in every episode (although not really in order). It's so beautiful and although some of the dialogue is cliche it doesn't bother me at all whatsoever.